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INS seminars 60: Asymptotical an numerical methods for quantum resonant transport (Ali Faraj, May.09, 2013)

INS seminars 60

Title: Asymptotical an numerical methods for quantum resonant transport

Speaker: Ali Faraj, Institute of Natural Sciences, Shanghai Jiao Tong University

Time and place: 2:00pm-3:00pm, May 9, 2013 (Thursday), 601 Pao Yue-Kong Library

Abstract:

I will present some results on double barrier structures in a semi-conductor. The resonances of the Hamiltonian of the system are well described when the plank constant h tends to zero by the eigenvalues of a perturbed Hamiltonian. In dimension 1, accounting that the density involved in the Schrodinger-Poisson system charges principally the resonant energies, it is possible to perform fast computation and to write a simplified model.

In dimension 2 and 3, similar asymptotic is obtained rigorously in the case of a bounded domain.